34678123643904

Names of 34678123643904

• Cardinal: 34678123643904 can be written as Thirty-four trillion, six hundred seventy-eight billion, one hundred twenty-three million, six hundred forty-three thousand, nine hundred four.

Scientific notation

• Scientific notation: 3.4678123643904 × 10¹³

Factors of 34678123643904

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1160

Divisors of 34678123643904

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 307 312 379 384 408 416 439 442 512 544 614 624 663 758 768 816 832 878 884 921 1024 1088 1137 1228 1248 1317 1326 1516 1536 1632 1664 1756 1768 1842 2176 2274 2456 2496 2634 2652 3032 3072 3264 3328 3512 3536 3684 3991 4352 4548 4912 4927 4992 5219 5268 5304 5707 6064 6443 6528 6656 7024 7072 7368 7463 7982 8704 9096 9824 9854 9984 10438 10536 10608 11414 11973 12128 12886 13056 13312 14048 14144 14736 14781 14926 15657 15964 17121 17408 18192 19329 19648 19708 19968 20876 21072 21216 22389 22828 23946 24256 25772 26112 28096 28288 29472 29562 29852 31314 31928 34242 36384 38658 39296 39416 39936 41752 42144 42432 44778 45656 47892 48512 51544 52224 56192 56576 58944 59124 59704 62628 63856 67847 68484 72768 77316 78592 78832 83504 83759 84288 84864 89556 91312 95784 97019 97024 103088 112384 113152 116353 117888 118248 119408 125256 127712 134773 135694 136968 145536 154632 157184 157664 166381 167008 167518 168576 169728 179112 182624 191568 194038 194048 203541 206176 224768 226304 232706 235776 236496 238816 250512 251277 255424 269546 271388 273936 291057 291072 309264 314368 315328 332762 334016 335036 337152 339456 349059 358224 365248 383136 388076 388096 404319 407082 412352 449536 465412 471552 472992 477632 499143 501024 502554 510848 539092 542776 547872 582114 582144 618528 630656 665524 668032 670072 674304 678912 698118 716448 730496 766272 776152 808638 814164 824704 930824 943104 945984 955264 998286 1002048 1005108 1021696 1078184 1085552 1095744 1164228 1164288 1237056 1261312 1331048 1336064 1340144 1348608 1396236 1432896 1460992 1512589 1532544 1552304 1617276 1628328 1649408 1752049 1861648 1891968 1910528 1978001 1996572 2004096 2010216 2043392 2156368 2162953 2171104 2191488 2291141 2328456 2474112 2522624 2662096 2672128 2680288 2792472 2828477 2865792 2921984 3025178 3065088 3104608 3234552 3256656 3298816 3504098 3723296 3783936 3821056 3956002 3993144 4008192 4020432 4086784 4312736 4325906 4342208 4382976 4537767 4582282 4656912 4948224 5045248 5256147 5324192 5344256 5360576 5584944 5656954 5731584 5843968 5934003 6050356 6130176 6209216 6469104 6488859 6513312 6597632 6873423 7008196 7446592 7567872 7642112 7912004 7986288 8016384 8040864 8485431 8625472 8651812 8684416 8765952 9075534 9164564 9313824 9896448 10512294 10648384 10721152 11169888 11313908 11463168 11868006 12100712 12260352 12418432 12938208 12977718 13026624 13746846 14016392 14893184 15135744 15824008 15972576 16032768 16081728 16970862 17250944 17303624 17368832 17531904 18151068 18329128 18627648 19792896 21024588 21296768 21442304 22339776 22627816 22926336 23736012 24201424 24836864 25714013 25876416 25955436 26053248 27493692 28032784 29784833 29786368 31648016 31945152 32163456 33941724 34501888 34607248 34737664 36302136 36658256 36770201 37255296 42049176 42593536 42884608 44679552 45255632 47472024 48402848 49673728 51078967 51428026 51752832 51910872 52106496 54987384 56065568 59569666 59572736 63296032 63890304 64326912 67883448 69003776 69214496 69475328 72604272 73316512 73540402 74510592 77142039 84098352 85187072 85769216 89354499 89359104 90511264 94944048 96805696 99347456 102157934 102856052 103505664 103821744 104212992 109974768 110310603 112131136 119139332 119145472 126592064 127780608 128653824 135766896 138007552 138428992 145208544 146633024 147080804 149021184 153236901 154284078 168196704 170374144 178708998 178718208 181022528 189888096 193611392 204315868 205712104 207011328 207643488 208425984 219949536 220621206 224262272 238278664 253184128 255561216 257307648 271533792 276857984 290417088 293266048 294161608 298042368 306473802 308568156 336393408 357417996 357436416 362045056 379776192 387222784 408631736 411424208 414022656 415286976 439899072 441242412 448524544 476557328 506368256 511122432 543067584 553715968 580834176 586532096 588323216 612947604 617136312 664026571 672786816 714835992 724090112 759552384 774445568 817263472 822848416 830573952 868342439 879798144 882484824 897049088 953114656 1012736512 1086135168 1107431936 1161668352 1173064192 1176646432 1225895208 1234272624 1328053142 1345573632 1429671984 1448180224 1519104768 1548891136 1634526944 1645696832 1661147904 1736684878 1759596288 1764969648 1794098176 1906229312 1992079713 2025473024 2172270336 2214863872 2323336704 2346128384 2353292864 2451790416 2468545248 2605027317 2656106284 2691147264 2859343968 2896360448 3038209536 3269053888 3291393664 3322295808 3473369756 3519192576 3529939296 3812458624 3984159426 4344540672 4646673408 4706585728 4903580832 4937090496 5210054634 5312212568 5382294528 5718687936 6076419072 6538107776 6582787328 6644591616 6946739512 7038385152 7059878592 7624917248 7968318852 8689081344 9413171456 9807161664 9874180992 10420109268 10624425136 11288451707 11437375872 13076215552 13165574656 13893479024 14119757184 15249834496 15936637704 18826342912 19614323328 19748361984 20840218536 21248850272 22576903414 22874751744 26152431104 26331149312 27786958048 28239514368 30499668992 31873275408 33865355121 37652685824 39228646656 39496723968 41680437072 42497700544 45153806828 45749503488 52304862208 55573916096 56479028736 63746550816 67730710242 78457293312 78993447936 83360874144 84995401088 90307613656 91499006976 111147832192 112958057472 127493101632 135461420484 156914586624 166721748288 169990802176 180615227312 222295664384 254986203264 270922840968 333443496576 339981604352 361230454624 444591328768 509972406528 541845681936 666886993152 679963208704 722460909248 889182657536 1019944813056 1083691363872 1333773986304 1444921818496 2039889626112 2167382727744 2667547972608 2889843636992 4334765455488 5779687273984 8669530910976 11559374547968 17339061821952 34678123643904
• Sum of all divisors σ(n): 106258911897600
• Sum of proper divisors (its aliquot sum) s(n): 71580788253696
• 34678123643904 is an abundant number, because the sum of its proper divisors (71580788253696) is greater than itself. Its abundance is 36902664609792

Bases of 34678123643904

• Binary: 111111000101000100001001111011100010000000000₂
• Hexadecimal: 0x1F8A213DC400
• Base-36: CAIWRGDMO

Squares and roots of 34678123643904

• 34678123643904 squared (34678123643904²) is 1202572259461893638996361216
• 34678123643904 cubed (34678123643904³) is 41702949504348549582584572525190540427264
• The square root of 34678123643904 is 5888813.4325943797
• The cube root of 34678123643904 is 32610.0799509047

Scales and comparisons

• 34,678,123,643,904 seconds is equal to 1,102,657 years, 3 weeks, 2 days, 19 hours, 18 minutes, 24 seconds.
• To count from 1 to 34,678,123,643,904 would take you about two million, seven hundred fifty-six thousand, six hundred forty-two years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 34678123643904 cubic inches would be around 2717.5 feet tall.

Recreational maths with 34678123643904

• 34678123643904 backwards is 40934632187643
• The number of decimal digits it has is: 14
• The sum of 34678123643904's digits is 60
• More coming soon!